Theorems · Theorem · special functions
DifferentiableWithinAt.exp
∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] {f : E → ℝ} {x : E} {s : Set E},
DifferentiableWithinAt ℝ f s x → DifferentiableWithinAt ℝ (fun x => Real.exp (f x)) s x- Cited by
- 1 results in Mathlib
- Foundations
- Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- Real.expstatement · cited by 871
- DifferentiableWithinAtstatement and proof · cited by 453
- DifferentiableWithinAt.hasFDerivWithinAtproof · cited by 132
- HasFDerivWithinAt.differentiableWithinAtproof · cited by 65
- HasFDerivWithinAt.expproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- DifferentiableOn.expproof · cited by 0